# 一題數學 continuously compound 10點

on a seccretive search through your grandfather's basement you

uncover an old stamp collection. The stamp os worth 1000 dollars

now, but in ten years, it will triple its value. Unfortunately, you will

have to store the collection in a special warehouse during this time.

The storage fee is 200, compound continuously at a rate 5% per year

but is not paid until you withdraw your collection from warehouse.

Sould you store the stamp collection or sell it immediately and invest

the proceeds in the stock market, whrere you expect to make 9.5%

continuously compounded return over the coming ten years.

Update:

Rating

首先計算 10 年保管費

200 * e^(0.05*10) ≒ 329.74

10 年後之價值 ~

1000 * 3 – 329.74 = 2670.06

投資股票 10 年之價值 ~

1000 * e^(0.095*10) ≒ 2585.71

因此, 應當保存郵票

http://tw.myblog.yahoo.com/jw!JCVbjQyaBRbXTWOakinc...

2009-02-19 08:05:08 補充：

您這題已經重複發問了, 因此下列網址, 思瑜就不再回答了

http://tw.knowledge.yahoo.com/question/question?qi...

2009-02-19 18:40:54 補充：

對呀! 因為在 storage fee 方面, 後面有加這句話

but is not paid until you withdraw your collection from warehouse

另外, 思瑜謝謝您的好意, 思瑜心領了

2009-02-19 18:43:08 補充：

不過剛剛看了一下, Hecate 的作法不是連續複利的方式唷!

他的作法是年複利方式, 錯掉了

Source(s): 思瑜的部落格